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Number of 4Xn arrays containing n copies of 0..4-1 with no element 1 greater than its north, west, northeast or southeast neighbor modulo 4 and the upper left element equal to 0.
1

%I #6 Aug 12 2016 06:53:59

%S 2,6,44,438,4156,49033,588632,8351513,113609298,1770032098,

%T 26096782411,426735882363,6595598937191,110427559297288,

%U 1759795259815468,29843750451187538,485812231474336419,8302508424244712407

%N Number of 4Xn arrays containing n copies of 0..4-1 with no element 1 greater than its north, west, northeast or southeast neighbor modulo 4 and the upper left element equal to 0.

%C Row 4 of A266854.

%H R. H. Hardin, <a href="/A266855/b266855.txt">Table of n, a(n) for n = 1..22</a>

%e Some solutions for n=5

%e ..0..2..1..1..3....0..3..2..0..2....0..2..1..0..3....0..2..1..3..1

%e ..2..0..3..3..1....2..1..0..0..2....2..0..3..3..1....2..0..3..1..3

%e ..0..3..2..1..1....0..3..3..2..1....0..3..2..1..1....0..2..1..3..2

%e ..2..2..0..0..3....3..1..1..1..3....2..2..1..0..3....0..0..3..2..1

%Y Cf. A266854.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 04 2016